16 citations · 59 across the 23 of their papers we have counts for
24 papers
Gauge groups and bialgebroids
Xiao Han, Giovanni Landi
We study the Ehresmann--Schauenburg bialgebroid of a noncommutative principal bundle as a quantization of the gauge groupoid of a classical principal bundle. We show that the gauge…
Twisted Ehresmann Schauenburg bialgebroids
Xiao Han
We construct an invertible normalised 2 cocycle on the Ehresmann Schauenburg bialgebroid of a cleft Hopf Galois extension under the condition that the corresponding Hopf algebra is…
Chern number inequalities of deformed Hermitian-Yang-Mills metrics on four dimensional Kaehler manifolds
Xiaoli Han, Xishen Jin
In this paper, we investigate the Chern number inequalities on -dimensional Kähler manifolds admitting the deformed Hermitian-Yang-Mills metrics under the assumption $\hatθ\in (…
On coherent Hopf 2-algebras
Xiao Han
We construct a coherent Hopf 2-algebra in terms of Hopf coquasigroups, which relax the coassociativity condition and generalize the results in \cite{XH2023}. We also study quasi co…
Stability of line bundle mean curvature flow
Xiaoli Han, Xishen Jin
Let be a compact Kähler manifold of complex dimension and be a holomorphic line bundle over . The line bundle mean curvature flow was introduced in \cite{JY}…
On the gauge group of Galois objects
Xiao Han, Giovanni Landi
We study the Ehresmann--Schauenburg bialgebroid of a noncommutative principal bundle as a quantization of the classical gauge groupoid of a principal bundle. When the base algebra…